14222432414304 has 72 divisors (see below), whose sum is σ = 40550643124992. Its totient is φ = 4728432672000.

The previous prime is 14222432414297. The next prime is 14222432414329. The reversal of 14222432414304 is 40341423422241.

14222432414304 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 24 + 324 + 1 + 4 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64358947 + ... + 64579554.

It is an arithmetic number, because the mean of its divisors is an integer number (563203376736).

Almost surely, 2^{14222432414304} is an apocalyptic number.

It is an amenable number.

14222432414304 is an abundant number, since it is smaller than the sum of its proper divisors (26328210710688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14222432414304 is a wasteful number, since it uses less digits than its factorization.

14222432414304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128938900 (or 128938889 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 14222432414304 its reverse (40341423422241), we get a palindrome (54563855836545).

The spelling of 14222432414304 in words is "fourteen trillion, two hundred twenty-two billion, four hundred thirty-two million, four hundred fourteen thousand, three hundred four".